Output Consensus for Heterogeneous Two-Time-Scale Multiagent Systems Under DoS Attacks: A Multi-Index Case

Abstract

This article studies the output consensus issue for a class of heterogeneous two-time-scale multiagent systems (HTTS-MASs) under denial-of-service (DoS) attacks. A novel output consensus control framework, integrating a resilient distributed observer and a composite controller, is built as the first attempt for HTTSMASs. By establishing a DoS attack impact interval for each communication channel, the resilient distributed observer based on asynchronous sampling is designed to resist DoS attacks. Given the inherent two-time-scale characteristics, solving the regulator equations (REs) of original HTTSMASs often leads to ill-conditioned numerical issues. To overcome this challenge, singular perturbation theory is employed to decouple the output consensus problem into a multi-index control problem for slow and fast subsystems. Specifically, a slow sub-controller is designed to achieve output tracking based on the solution of the slow subsystem's REs, while a fast sub-controller is designed to guarantee the fast subsystem's stability. Finally, a numerical example and an application involving a permanent magnet synchronous motor are presented to verify the effectiveness of the designed method.